Question

From the following figure, determine the value of 'n'.
C С
D
650
(3n +15)°
O
B​

Answer 1

Answer:

The value of 'n' is 50/3.

Step-by-step explanation:

Step 1: Vertical Angles (Vertically Opposite Angles) The opposing angles created by the junction of two lines are known as vertical angles or vertically opposed angles. A pair of angles that are vertically opposed to one another are always equal.

Step 2:Vertical angles of identical magnitude are always congruent. The total of the two vertical angle pairs, or four angles, is always 360 degrees. Angles that come from each pair of vertical angles are supplementary and are referred to as neighbouring angles (the angles sum up to 180 degrees).

So here the vertically opposite angles are equal.

So, (3n + 15)° = 65°

=> 3n = 65° - 15°

=> 3n = 50

=> n = 50/3

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